A Universal Entropic Suppression Law Resolves the Hot-Jupiter Atmospheric Escape Anomaly

Hot Jupiter exoplanets lose mass at rates that deviate significantly from the classical energy-limited escape prescription.We show that a universal Lorentzian suppression factor, Supp(E) = [1 + (E⁄E₀)²]⁻¹ — previously derived via a constructive functional renormalization group (FRG) proof of the Yang–Mills mass gap — naturally explains the observed plateau and roll-off of escape rates above equilibrium temperatures T_c ≳ 4000 K.By establishing the bridge relation E₀ = ħ·c·m*, we anchor the single free parameter of the escape model to the unique gauge-invariant mass gap m* of the FRG fixed point.Fits to transmission spectra of HD 209458 b, WASP-69 b, and KELT-9 b yield E₀ ≈ 0.79 ± 0.05 eV, consistent with nano-resonator dissipation experiments and lattice bounds on m*.We present full derivations, numerical methods, and falsifiable predictions for upcoming JWST and ARIEL observation cycles.